In systems and methods, an original image was previously converted to a lower bit count per pixel. The resulting image included pixel error based on the lower bit count per pixel. The conversion used an error weighting matrix (which diffuses the pixel error of each pixel to adjacent pixels). Methods and systems produce an output image from the lower bit count per pixel image using the error weighting matrix to determine, for each pixel, the amount of error added because of the adjacent pixels during the conversion process. Then, such methods and systems remove, from each pixel, the amount of error that was previously added based on the adjacent pixels. After removing the amount of error added based on the adjacent pixels from all pixels in the input image, an output image is reconstructed using a filter, such as a low pass filter.